5 citations · 13 across the 9 of their papers we have counts for
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Multiple Horn problems for planar networks and invertible matrices
Anton Alekseev, Arkady Berenstein, Anfisa Gurenkova +1
The multiplicative multiple Horn problem is asking to determine possible singular values of the combinations and for a triple of invertible matrices with giv…
Geometric Multiplicities
Arkady Berenstein, Yanpeng Li
In this paper, we introduce geometric multiplicities, which are positive varieties with potential fibered over the Cartan subgroup of a reductive group . They form a monoida…
Langlands Duality and Poisson-Lie Duality via Cluster Theory and Tropicalization
Anton Alekseev, Arkady Berenstein, Benjamin Hoffman +1
Let be a connected semisimple Lie group. There are two natural duality constructions that assign to it the Langlands dual group and the Poisson-Lie dual group . T…
Poisson Structures and Potentials
Anton Alekseev, Arkady Berenstein, Benjamin Hoffman +1
We introduce a notion of weakly log-canonical Poisson structures on positive varieties with potentials. Such a Poisson structure is log-canonical up to terms dominated by the poten…